The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Stable and metastable states in mean-field Potts and structural glasses
Abstract
Recent static and dynamical work suggest a close analogy between spin glasses with discontinuous Edwards-Anderson order parameter and structural glasses. The mean-field dynamical spin-glass theory predicts freezing above the usual thermodynamic transition temperature. Here we use the approach of Thouless, Anderson, and Palmer for Potts glasses to show that the dynamical approach locates a thermodynamically metastable glassy state. We also give divergent correlation lengths as both the static and dynamical transition temperatures are approached. We argue that the static transition is analogous to an ideal glass transition temperature in the structural glass problem. We also argue that the static transition temperature can be identified as the temperature at which the configurational entropy vanishes, i.e., the Kauzmann temperature. Dynamical transitions between the metastable states are discussed. We argue that divergent lifetimes occur near the Kauzmann temperature.
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Cites
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Spin glasses: Experimental facts, theoretical concepts, and open questions
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The Nature of the Glassy State and the Behavior of Liquids at Low Temperatures.
Kauzmann, W. (1948) · Chemical Reviews · doi:10.1021/cr60135a002 · Cited by 2,834
Nature of the Glass Transition and the Glassy State
Gibbs, J. H., & DiMarzio, E. A. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744141 · Cited by 2,028
Random-energy model: An exactly solvable model of disordered systems
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Solution of 'Solvable model of a spin glass'
Thouless, D. J., Anderson, P. W., & Palmer, R. G. (1977) · Philosophical Magazine · doi:10.1080/14786437708235992 · Cited by 1,286
Infinite Number of Order Parameters for Spin-Glasses
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Dynamical model of the liquid-glass transition
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Cited by
Supercooled liquids and the glass transition
Debenedetti, P. G., & Stillinger, F. H. (2001) · Nature · doi:10.1038/35065704 · Cited by 4,643
The Energy Landscapes and Motions of Proteins
Frauenfelder, H., Sligar, S. G., & Wolynes, P. G. (1991) · Science · doi:10.1126/science.1749933 · Cited by 3,250
Self-citationTHEORY OF PROTEIN FOLDING: The Energy Landscape Perspective
Onuchic, J. N., Luthey-Schulten, Z., & Wolynes, P. G. (1997) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.48.1.545 · Cited by 2,210
Self-citationStructural heterogeneities and mechanical behavior of amorphous alloys
Qiao, J. C., Wang, Q., Pelletier, J. M., Kato, H., Casalini, R., Crespo, D., Pineda, E., Yao, Y., & Yang, Y. (2019) · Progress in Materials Science · doi:10.1016/j.pmatsci.2019.04.005 · Cited by 659
Fractal free energy landscapes in structural glasses
Charbonneau, P., Kurchan, J., Parisi, G., Urbani, P., & Zamponi, F. (2014) · Nature Communications · doi:10.1038/ncomms4725 · Cited by 484
Metadata
- Authors
- Kirkpatrick, T. R., & Wolynes, P. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1987-12-01
- Volume
- 36
- Issue
- 16
- Pages
- 8552-8564
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2043443881
- Cited by
- 484
- References
- 35
- FWCI
- 8.36
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
